The system of linear equations represented on the graph has infinitely many solutions.
Explanation:To determine the number of solutions for the system of linear equations, we can start by solving the equations. We can solve the first equation for y to get y = x + 2. We can substitute this expression for y into the second equation and then solve for x. By substituting y = x + 2 into -3x + 3y = 6, we get -3x + 3(x + 2) = 6. Simplifying this equation gives us -3x + 3x + 6 = 6, which simplifies further to 6 = 6. This equation is always true, which means there are infinitely many solutions for the system of linear equations. The two equations represent the same line, and any point on this line is a solution to the system.
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A large candy bar was 127 calories. The smaller
candy bar has 25 percent less calories. How many
calories does the smaller candy bar have?
Answer:
95.25 calories
Step-by-step explanation:
127 x 0.25 = 31.75
127 -31.75 = 95.25
how to spimplify the expression 19z-19z =
Answer:
0
Step-by-step explanation:
19z-19z=0
this is because z is always equivalent to itself, and therefore 19z is equivalent to 19z
When you subtract two numbers that are equivalent, you will always get 0
Simplify the following expression.
2x^5+ 3x^3 - 5x^2 + x^2 +7x+1+7x^5 - 3x^3 - 4
A ____ a0 angle has the same measure as its arc.
A central angle has the same measure as its arc.
Define highest common factor
Answer:
Of two numbers, The largest whole number which is a factor of both.
Step-by-step explanation:
The sum of two numbers is 51 and the difference is 17. What are the numbers?
Answer: The answer is 34 and 17
Step-by-step explanation: 34+17= 51
and 34-17=17
PLEASE HELP - Part A Find the value of x in the following figure: Part B Find the measure of ACD
Answer:
Part A = 90
Part B = 145
Step-by-step explanation:
For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.
is the difference in length between a monarch butterfly and a bumblebee greater or less than the difference in length between a walking stick and grasshopper explain your reasoning.PLS HELP HURRY I KNOW ITS LATE HURRY!
The difference in length between a monarch butterfly and a bumblebee greater than the difference in length between a walking stick and grasshopper.
Solution:
Length of Monarch butterfly = [tex]3\frac{1}{2}[/tex] in
Length of Bumble bee = [tex]\frac{5}{8}[/tex] in
Difference between their lengths
[tex]=3\frac{1}{2}-\frac{5}{8}[/tex]
To convert mixed fraction into improper fraction.
[tex]=\frac{7}{2}-\frac{5}{8}[/tex]
To make the denominator same, multiply and divide the first term by 4.
[tex]=\frac{28}{8}-\frac{5}{8}[/tex]
[tex]=\frac{23}{8}[/tex]
Difference between length of Monarchy and Bumble bee is [tex]\frac{23}{8}[/tex] in.
Length of Walking stick = 4 in
Length of Grasshopper = [tex]1\frac{3}{4}[/tex] in
Difference between their lengths
[tex]=4-1\frac{3}{4}[/tex]
To convert mixed fraction into improper fraction.
[tex]=\frac{4}{1}-\frac{7}{4}[/tex]
To make the denominator same, multiply and divide the first term by 4.
[tex]=\frac{16}{4}-\frac{7}{4}[/tex]
[tex]=\frac{9}{4}[/tex]
Difference between length of Walking stick and Grasshopper is [tex]\frac{9}{4}[/tex] in.
Compare: [tex]\frac{23}{8}[/tex] and [tex]\frac{9}{4}[/tex]
To compare the fractions, make the denominator same.
So multiply and divide [tex]\frac{9}{4}[/tex] by 2, we get
[tex]\frac{23}{8}[/tex] and [tex]\frac{18}{8}[/tex]
[tex]$\frac{23}{8}>\frac{18}{8}[/tex]
Hence the difference in length between a monarch butterfly and a bumblebee greater than the difference in length between a walking stick and grasshopper.
Christopher runs a farm stand that sells apples and bananas. Yesterday Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Today he sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Determine the price of each pound of apples and the price of each pound of bananas.
Answer:
Pound of Apples = 2$
Pound of Banana = 2.75$
Step-by-step explanation:
Data
Yesterday Christopher sold 35 pounds of apples (35A) and 34 pounds of bananas (34B) for a total revenue of $163.5 (=163.50)
Today he sold 15 pounds of apples (15A) and 17 pounds of bananas (17B) for a total revenue of $76.75. (=76.75)
Now well, we have a system of the equation
35A+34B=163.50
15A+17B=76.75
we must eliminate A or B, As you can see 34 is twice 17, so we multiply on both sides of the equation so as not to alter it
35A+34B=163.50 35A+34B=163.50
15A+17B=76.75 (-2) ⇒ -30A-34B=-153.50
5A-0B = 10
5A=10 ⇒ A=10/5 ⇒ A=2
and B:
35(2)+34B=163.5 ⇒ 70+34B=163.5 ⇒ 34B=163.5-70
34B=93.5 = 93.5/34
B=2.75
Let x represent the price of each pound of apples and y represent the price of each pound of bananas.
Since 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Hence:
35x + 34y = 163.50 (1)
Also, 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Hence:
15x + 17y = 76.75 (2)
Solving equations 1 and 2 simultaneously gives x = 2, y = 2.75
The price of each pound of apples is $2 while price of each pound of banana is $2.75
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If 12 and 20 each divide K without a remainder, what is the value of K?
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.
Answer:
4
Step-by-step explanation:
1*12=12 1*20=20
2*6=12 2*10=20
3*4=12 4*5=20
both have a similar multiple of 4, so k must be 4.
What is this please help
Answer:
y=9
y=1
y= -7
y= -15
Step-by-step explanation:
You have to use the number in the x colum and fill in itnot te equation
y= -4x+1
Start with the first number, -2
y= -4(-2)+1 multiply -4 and -2 because of PEMDAS
y=8+1 simplify
y=9
Now do the next number, 0
y= -4(0)+1 Multiple -4 and 0 because of PEMDAS (Anything times 0 is 0)
y=1
Now do the next number, 2
y= -4(2) + 1 Multiply -4 and 2 because of PEMDAS
y= -8 + 1 Simplify
y=-7
Now do the next number, 4
y= -4(4) +1 Multiply -4 and 4 because of Pemdas
y = -16 +1
y= -15
Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 25 cm2?
Answer:
80cm^2/s
Step-by-step explanation:
This is a related rates problem where we are considering the rate at which the area of a square changes with respect to time.
So lets consider the area of a square:
A = s^2 (where s represents the length of one side of the square)
Related rates problem deal with functions of time so if we take the area and side length as a function of time and then differentiate implicitly we get:
[tex]\frac{dA}{dt} = 2s(\frac{ds}{dt})[/tex]
The problem states that the side of a square is increasing at a rate off 8cm/s so we can conclude that ds/dt = 8cm/s leaving us with:
[tex]\frac{dA}{dt} = 16s[/tex]
Now, to solve for s we have to consider the other value given. If the area of the square is initially 25cm^2 we can plug this into our formula for area to solve for the side length.
25 = s^2
s = +/- 5 (since side lengths are only positive we only consider +5)
s = 5
Now we can plug this back in for s:
[tex]\frac{dA}{dt} = 80[/tex]
Therefore, the rate at which the area of the square is increasing is 80cm^2 per second.
the sidees of a triangle measures 10cm 10 cm and 6cm what type of triangle is it?
i need help
Answer:
Isosceles Triangle
Step-by-step explanation:
Since, sides of triangle measures 10 cm, 10 cm & 6 cm.
Therefore, two sides of triangle have equal measurement.
Hence, it is an ISOSCELES triangle.
you want to leave a person a 25% tip. But how much of a tip would you leave her if your meal was $38.47
Answer:$48.09 please give brainliest!
Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09
Answer:
$9.62
Step-by-step explanation:
total cost= $38.47
tip = 25% = [tex]\frac{25}{100}[/tex]
=> tip = [tex]\frac{25}{100}[/tex] * $38.47
≈ $9.62 (to the nearest cent)
NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.
Hope this helps :)
factor 5x2 + 10x + 2x + 4
Answer:
(5 x + 2) (x + 2)
Step-by-step explanation:
Factor the following:
5 x^2 + 10 x + 2 x + 4
10 x + 2 x = 12 x:
5 x^2 + 12 x + 4
Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):
2 (5 x + 2) + x (5 x + 2)
Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):
Answer: (5 x + 2) (x + 2)
The leaning tower of Pisa in Italy appears to be cylindrical in shape. It’s height is about 56 meters. If the volume of the tower is about 9,891 cubic meters, what is the diameter of the base?
Please explain how you found your answer
The diameter of the base of the tower is approximately 15m.
The height of the leaning tower = 56 m
The leaning tower is cylindrical in shape.
Suppose the diameter of the base of the tower is d
What is the volume of a cylinder?The volume of a cylinder with a diameter d and height h is [tex]\frac{\pi }{4} d^{2} h[/tex].
Given that the volume of the tower is about 9,891 cubic meters.
This means [tex]\frac{\pi }{4} d^{2} h=9891[/tex]
[tex]\frac{\pi }{4} d^{2} *56=9891[/tex]
[tex]d=15m[/tex]
Hence, the diameter of the base of the tower is approximately 15m.
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Write an expression using the distributive property to find the product of 7x63
Answer:
7(60+3)
Step-by-step explanation:
The distributive property is a(b+c) = ab+ac
7 x 63 = (7x60) + (7x3) = 7(60+3)
So in distributive form it would be 7(60+3)
Answer:
7(1·9)
Hope this helps
In a 45-45-90 triangle, the ratio of the length of the hypotenuse to the length of a side is
See the figure below for a better understanding of the problem. Since we have a 45-45-90 triangle, this is an isosceles triangle, so both the adjacent and opposite sides measure the same value, say, x. Then the hypotenuse would be:
[tex]H=\sqrt{x^2+x^2} \\ \\ H=2\sqrt{2}[/tex]
Then. the ratio of the length of the hypotenuse to the length of a side is:
[tex]\boxed{r=\frac{2\sqrt{x}}{x}}[/tex]
In a 45-45-90 triangle, the ratio of the length of the hypotenuse to the length of a side is √2:1. This means that if one of the legs (the sides opposite the 45-degree angles) has a length of "x" units, then the hypotenuse (the side opposite the 90-degree angle) will have a length of "x√2" units.
4x + 10 = -26 what is x
Answer: x=-9
Step-by-step explanation:
First, we want to isolate x by subtracting ten from both sides
4x=-36
Then divide by four to get:
X=-9
Answer:-6
Step-by-step explanation:
you'd want to subtract the ten and move it under the 26, adding to make a negative 36 then divide by 4 on both sides
Does anyone know the answer???
Answer:
B. [tex]x\leq 8[/tex]
Step-by-step explanation:
[tex]3(x+4)\leq 36[/tex]
[tex]3x+12\leq 36[/tex] use distributive property to multiply 3 by (x + 4)
[tex]3x+12\leq 36\\-12\leq -12\\3x\leq 24[/tex] subtract 12 on both sides (cancel out 12)
[tex]3x\leq 24[/tex]
[tex]\frac{3x}{3} \leq \frac{24}{3}[/tex] divide 3 on both sides (cancel out 3)
[tex]x\leq 8[/tex]
Find the volume of a cylinder if the radius is 12 inches and the height is 17 inches
Answer:
Volume of the cylinder = [tex]7686.72\,inches^3[/tex]
Step-by-step explanation:
Radius(r) of the cylinder= [tex]12\,inches[/tex]
Height(h) of the cylinder= [tex]17\,inches[/tex]
Volume of a cylinder is :
[tex]\pi \times r^2\times h[/tex]
As,
[tex]\pi =\dfrac{22}{7}=3.14[/tex]
Volume is:
[tex]=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3[/tex]
The volume of the cylinder is: [tex]7686.72\,inches^3[/tex]
Chuck mallory makes a deposit at an atm and walks away with $50.00 in cash and the receipt for the $538.00 total deposit he made. He remembers that the checks deposited totaled twice the currency he deposited. He did not deposit any coins. How much In currency did he deposit ? How much in checks did he deposit ?
Chuck Mallory deposited $179.33 in currency and $358.66 in checks at an ATM. This total transaction totaled $538.00.
Explanation:The question references a deposit made at an ATM. We'll analyze this transaction with the given facts.
Chuck deposited a total of $538.00 He left the bank with $50.00 in cash The total deposit is composed of checks and currency The checks deposited were twice the amount of currency deposited
Let's declare two variables to solve this problem. Let C represent the Currency and Ch represent the Checks. Based on the facts, we can establish the following equations:
C + Ch = $538 Ch = 2C
We can solve for C by replacing Ch in the first equation with 2C from the second equation. Doing this, we get C + 2C = $538, or 3C = $538.
By dividing both sides of the equation by 3, We get C = $179.33. He deposited $179.33 in currency.
We can then find how much in checks he deposited by substituting C=$179.33 in the second equation. Ch = 2* $179.33, so Ch = $358.66. He deposited $358.66 in checks.
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1.2 per 1000 delivery hospitalizations equals how many births
Answer:
1200
Step-by-step explanation:
1.2 * 1000
1200
Answer: 1200
Answer:
1200
Step-by-step explanation:
1.2 per 1000 delivery hospitalizations equals how many births?since they are 1.2 per 1000
= 1.2 * 1000
= 1200
use mental mathe to solve n−5=−6
Answer:n=-1
Step-by-step explanation:n=-6+5
n=-1
Answer:
n = -1
Step-by-step explanation:
Given
n - 5 = -6
Add 5 to both sides in order to isolate the unknown
n - 5 + 5 = -6 + 5
n = -1
What is the area of this figure?
Problem setup:
The shape is way too complicated by itself, so I cut the shape into 5 different parts.
Please refer to the attached image or my answer will not make much sense.
Shape 1:
This is a triangle. The base is 3 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*3*2[/tex]
[tex]=3[/tex]
Shape 1 has an area of 3 square units.
Shape 2:
This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*4*2[/tex]
[tex]=4[/tex]
Shape 2 has an area of 4 square units.
Shape 3:
This a unit square (the side lengths are 1).
Thus, Shape 3 has an area of 1 square unit.
Shape 4:
This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:
[tex]A=3*4[/tex]
[tex]=12[/tex]
Shape 4 has an area of 12 square units.
Shape 5:
This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=4*2[/tex]
[tex]=8[/tex]
Shape 5 has an area of 8 square units.
Total shape:
Add the areas of all 5 shapes to find the area of the shaded figure.
[tex]A=3+4+1+12+8[/tex]
[tex]=26[/tex]
The figure has a total area of 26 square units.
Side notes:
There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?
Let me know if you need a hint or any clarifications, thanks!
~ Padoru
Question 8 of 10
2 Points
Use the function below to find F(4).
F(x)=5•(4*
Solve for r but write the answer in Simplified form
-12 = 15r
Answer:
r = -4/5
Step-by-step explanation:
Divide both sides by 15 so you have r
-12/15 simplify (both by 3)
-4/5
Use prefix to write 0.0052 grams in kilograms
Answer:
0.0000052 kg
Step-by-step explanation:
Per one kilogram, there are one thousand grams. By dividing 0.0052 grams by 1000, we can find kilograms.
0.0052/1000 = 0.0000052 kg
(This could also be written as 5.2 x 10^-6 kg)
Hope this helps!
ErvIn bowled 7 games last weekend. his scorers are : 155,165,138,172,193,142. what is the range of ErvIn scores
The range of a set of values is the lowest and highest number of that data set.
First, lets put the numbers from least to greatest.
138, 142, 155, 165, 172, 193
Second, find the lowest and greatest number in the data set.
138 is the lowest and 193 is the highest number in the data set.
Therefore, 138 and 193 is the range.
Best of Luck!
Find the slope of the line that contains the points (1,-1) and (-2,8)
The slope of the line that contains the points (1,-1) and (-2,8) is calculated using the change in y-values over the change in x-values, which results in a slope of -3.
To find the slope of the line that contains the points (1,-1) and (-2,8), we use the formula:
slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)
Substitute the given points into the formula:
m = (8 - (-1)) / (-2 - 1)
= (8 + 1) / (-2 - 1)
= 9 / (-3)
= -3
So, the slope of the line is -3.